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arXiv · 1401.6902

Noncommutative ${\cal N}=2$ Chern-Simons-matter model

L. Ibiapina Bevilaqua·A. C. Lehum
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Abstract

In this work we study the three-dimensional ${\cal N}=2$ supersymmetric Chern-Simons-matter model in a noncommutative space-time. We construct the action of the noncommutative $U(N)$ non-Abelian model in terms of explicit ${\cal N}=2$ supervariables by dimensionally reducing a four-dimensional ${\cal N}=1$ supermultiplet. We also obtain the on-shell ${\cal N}=2$ supersymmetric model writing it in terms of ${\cal N}=1$ superfields. In the noncommutative Abelian case, we show that linear UV divergences are cancelled in Feynman diagrams and logarithmic divergences are absent up to one-loop order, stating that our model is free of UV/IR mixing.

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L. Ibiapina Bevilaqua, A. C. Lehum. 2014-01-27. Noncommutative ${\cal N}=2$ Chern-Simons-matter model. https://doi.org/10.1103/physrevd.89.045014

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